the greatest number of five digit to be added to8321,so that the sum will be exactly dividible by 15,20,24,27,32 and 36 is
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27
Hey sup!
As per the question,
15=3×5.
20=2×2×5=2^2×5.
24=2×2×2×3=2^3×3
27=3×3×3=3^3.
32=2×2×2×2×2=2^5
36=2×2×3×3=2^2×3^2.
So the LCM is 2^5×3^3×5.
=32×27×5=4320
Greatest five Digit number is 99999 when added to 8321 gives 108320.
108320÷4320 gives 320 as remainder.
That means 108000 is divisible by 15,20,24,27,32 and 36.
So 108000-8321=99679.
So when 99679 is added to 8321 the resultant will be divisible by 15,20,24,27,32 and 36.
Hope it helps.
As per the question,
15=3×5.
20=2×2×5=2^2×5.
24=2×2×2×3=2^3×3
27=3×3×3=3^3.
32=2×2×2×2×2=2^5
36=2×2×3×3=2^2×3^2.
So the LCM is 2^5×3^3×5.
=32×27×5=4320
Greatest five Digit number is 99999 when added to 8321 gives 108320.
108320÷4320 gives 320 as remainder.
That means 108000 is divisible by 15,20,24,27,32 and 36.
So 108000-8321=99679.
So when 99679 is added to 8321 the resultant will be divisible by 15,20,24,27,32 and 36.
Hope it helps.
Answered by
0
Answer:
As per the question,
15=3×5.
20=2×2×5=2^2×5.
24=2×2×2×3=2^3×3
27=3×3×3=3^3.
32=2×2×2×2×2=2^5
36=2×2×3×3=2^2×3^2.
So the LCM is 2^5×3^3×5.
=32×27×5=4320
The greatest 5 digit number which is divisible by 15,20,24,27,32 and36=99999-(99999/4320)=99999-639=99360
∴Required number=99360-8321=91039
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